Flow equivalence of shifts of finite type via positive factorizations.
type: Item
instance of: scholarly article
title: Flow equivalence of shifts of finite type via positive factorizations.
zbMATH Open document ID: 1056.37008
author: Mike Boyle
published in: Pacific Journal of Mathematics
publication date: 2002-10-22T00:00:00Z
review text: Shifts of finite type are flow equivalent if they have topologically equivalent suspension flows. \textit{J. Franks} [Ergodic Theory Dyn. Syst. 4, 53--66 (1984; Zbl 0555.54026)] classified irreducible shifts of finite type up to flow equivalence. \textit{D. Huang}, after dealing with several special cases, has found complete algebraic invariants in the general case [Ergodic Theory Dyn. Syst. 21, No. 4, 1113--1137 (2001; Zbl 1055.37018) and a preprint]. This paper, together with a paper of the author and \textit{D. Huang} [Trans. Am. Math. Soc. 355, No. 10, 3861--3886 (2003; Zbl 1028.15006)], gives an alternative development of the classifying invariants. Additional functoriality properties are found, leading in particular to an analogue of the dimension group representation for flow equivalence.
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 54H20
zbMATH DE Number: 1818994
zbMATH Keywords: flow equivalence
zbMATH Keywords: shift of finite type
reviewed by: Thomas B. Ward
MaRDI profile type: Publication
full work available at URL: pjm.2002.204.273
OpenAlex ID: W2159464843
Wikidata QID: Q114045260
DOI: 10.2140/PJM.2002.204.273
description: scientific article; zbMATH DE number 1818994